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Estimates for functions of two commuting infinite matrices and applications |
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| Authors: | M I Gil’ |
| Institution: | 1.Department of Mathematics,Ben Gurion University of the Negev,Beer-Sheva,Israel |
| Abstract: | We consider a matrix valued function of two infinite commuting matrices generating bounded operators in a Banach space. Sharp estimates for the norm and entries are derived. Applications of the obtained estimates to differential equations are also discussed. |
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